Least Common Multiple of 18/975, 331/980, 966/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/975, 331/980, 966/834 quickly i.e. 959238 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/975, 331/980, 966/834 is 959238.

LCM(18/975, 331/980, 966/834) = 959238

LCM of 18/975, 331/980, 966/834

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 18/975,331/980,966/834

Given numbers are 18/975,331/980,966/834

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 18,331,966

Least Common Multiple of Numerators i.e. LCM of 18,331,966 is 959238.

GCF of Denominators means GCF of 975,980,834 as per the given fractions.

GCF of 975,980,834 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,331,966

LCM of Fractions 18/975,331/980,966/834 is 959238

2 18, 331, 966
3 9, 331, 483
3, 331, 161

∴ So the LCM of the given numbers is 2 x 3 x 3 x 331 x 161 = 959238

Least Common Multiple of 18,331,966 with GCF Formula

Least Common Multiple of 18,331,966 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 18,331,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,331,966) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(18,331,966) x common factors =1 x 6 = 6

LCM(18,331,966) = ( 18 × 331 × 966 ) / 6

LCM(18,331,966) = 5755428 / 6

LCM(18,331,966) = 959238


Lets's calculate GCF of 975,980,834

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 959238/1

Therefore the LCM of Fractions 18/975,331/980,966/834 is 959238

Greatest Common Factor of 975,980,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,980,834 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 975,980,834 . The biggest common factor number is the GCF number.
So the greatest common factor 975,980,834 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 18/975, 331/980, 966/834

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 18/975, 331/980, 966/834?

Answer: LCM of Numerators as per given numbers 18/975, 331/980, 966/834 is

LCM of Numerators i.e. for 18,331,966 is 959238

GCF of denominators i.e. for 975,980,834 is 1.

Thus, LCM of Fractions is 959238.Finally, LCM of Fractions for 18/975, 331/980, 966/834 is 959238.